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Consider the stocks in the following table. Assume a price-weighted index is formed by three selected stocks. Initially (at time t=0), the index contains stocks

Consider the stocks in the following table. Assume a price-weighted index is formed by three selected stocks. Initially (at time t=0), the index contains stocks A, B, and C. In the last period (moving from t=1 to t=2) stock C is replaced by stock D.

Time t=0

Time t=1

Time t=2

Stock

Price

Shares

Price

Shares

Price

Shares

A

90

100

95

100

95

100

B

50

200

45

200

45

200

C

100

200

110

200

---

---

D

---

---

---

---

20

500

a) What is the price of the index at time t=0?

b) What is the price of the index at time t=1?

c) What is the first-period (from t=0 to t=1) rate of return on the index?

d) What is the divisor of the index at time t=2?

e) What is the second-period rate of return (from t=1 to t=2) on the index?

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